Hyers–Ulam Stability of Linear Quaternion-Valued Differential Equations with Two-Sided Constant Coefficients

• Jiaojiao Lv ^[1] ; JinRong Wang ^[1] ; Kui Liu ^[1]
  1. [1] Guizhou University

     Guizhou University

     China

     
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 23, Nº 3, 2024
• Idioma: inglés
• DOI: 10.1007/s12346-024-00997-y
• Enlaces
  • Texto completo
• Resumen

  • In this paper, the Hyers–Ulam stability of linear quaternion-valued differential equations with two-sided constant coefficients are studied. Utilizing the complex representation of quaternions, we transform a nth-order quaternion-valued differential equation with two-sided constant coefficients into four nth-order complex differential equations. Then we derive the Hyers–Ulam stability by means of the reduced order method and the relationship between the quaternion-valued differential equations and the system of complex-valued differential equations. Two examples are presented to illustrate the validity of the theoretical results.

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